See: Description
Interface  Description 

PNodeI 
An element in a polynomial representation of an expression.

Class  Description 

AbstractPNode 
Default methods, when more specific methods do not work.

Coeffs 
Jep function to extract array of coefficients from a polynomial.

Compare 
The
compare(x,y) command. 
Expand 
The expand(x) command.

Monomial 
Represents an immutable monomial a x^i * y^j * ... * z^k, a constant.

MutableMonomial 
A mutable monomial representing a * x^i * y^j * ... * z^k.

MutablePolynomial 
A mutable polynomial representing a + b + c.

PConstant 
Represents a constant.

PFunction 
Represents a function.

Polynomial 
Represents a polynomial.

PolynomialCreator 
A system for symbolic simplification, expansion and comparision based
on conversion to a canonical polynomial representation.

POperator 
Represents an operator.

PVariable 
Represents a variable.

Simplify 
The simplify(x) command.

PolynomialCreator pc = new PolynomialCreator(jep); Node simp = pc.simplify(node); Node expand = pc.expand(node); boolean flag = pc.equals(node1,node2); int res = pc.compare(node1,node2); PNodeI poly = pc.createPoly(node);
The basic idea is to reduce each equation to a canonical form based on a total ordering of the terms.
For example a polynomial in x
will always be in the form
a+b x+c x^2+d x^3.
This makes comparison of two polynomials easy as it is just necessary to compare term by term, whereas it is dificult
to compare x^21
with (x+1)*(x1)
without any simplification or reordering is tricky.
As an illustration some of the rules for the ordering are
0<1<2
, 5<x
, x<x^2<x^3
, x<y
.
A polynomial is constructed from a set of monomials by arranging the monomials in order. Likewise a monomial is constructed from a set of variables by arranging the variables in name order.
The algorithm can also work with nonpolynomial equations. Functions are order by the name of the function and the ordering of their arguments.
Hence cos(x)<sin(x)<sin(y)
.
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